In a blender, combine the white rum, fresh lime juice, granulated sugar, fresh mint leaves, and ice cubes.

Blend the ingredients on high speed until smooth and slushy, ensuring the mint leaves are well incorporated.

Taste the mixture and adjust the sweetness or acidity by adding more sugar or lime juice, if desired.

Once you achieve the desired consistency and taste, pour the Frozen Mojito into a chilled glass.

If desired, top it off with a splash of club soda for a fizzy finish.

Garnish your Frozen Mojito with a lime wedge and a sprig of fresh mint.

Serve immediately and enjoy the cool and refreshing flavors.